The paint contained 12% of the original carbon-14. use the exponential decay model for carbon-14, A=A0e^-0.000121t, to estimate the age of the paintings

The paintings are approximately years old. (Round to the nearest integer.)

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Final Answer: The paintings are approximately $17523$ years old.

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Step 1 ：The question is asking for the age of the paintings given that they contain 12% of the original carbon-14. The exponential decay model for carbon-14 is given by $A = A 0 e^{- 0.000121 t}$ , where $A$ is the amount of carbon-14 remaining, $A 0$ is the original amount of carbon-14, and $t$ is the time in years.

Step 2 ：Since the paintings contain 12% of the original carbon-14, we can set $\frac{A}{A 0} = 0.12$ . We can then solve for $t$ in the equation $0.12 = e^{- 0.000121 t}$ .

Step 3 ：Solving the equation gives $t = 17523$ .

Step 4 ：Final Answer: The paintings are approximately $17523$ years old.

The paint contained 12% of the original carbon-14. use the exponential decay model for carbon-14, A=A0e^-0.000121t, to estimate the age of the paintings The paintings are approximately years old. (Round to the nearest integer.)

Answer

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The paint contained 12% of the original carbon-14. use the exponential decay model for carbon-14, A=A0e^-0.000121t, to estimate the age of the paintings

The paintings are approximately years old. (Round to the nearest integer.)